Question

Solve the equation by the zero factor property 6x^2 -5x -6=0

Answer 1

First, you need to factor the polynomial.

I'll use the trial and error method.

6x^2 - 5x - 6 = 0

6 has factors
6 and 1
3 and 2

I'll try 3 and 2 first.

(3x     )(2x      ) = 0

Now we need to factor -6.
-6 factors into
-1, 6
-6, 1
-2, 3
-3, 2

Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.

(3x + 2)(2x - 3) = 0

That did it.

Now we use the zero factor property.

3x + 2 = 0 or 2x - 3 = 0

3x = -2      or 2x = 3

x = -2/3     or x = 3/2